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68568610968 = 2333111317671949
BaseRepresentation
bin111111110111000000…
…011111100010011000
320112222122221100021000
4333313000133202120
52110412031022333
651255555145000
74645123401534
oct776700374230
9215878840230
1068568610968
1127097214330
12113575a5160
136609a288b0
143466892bc4
151bb4b1a713
hexff701f898

68568610968 has 512 divisors, whose sum is σ = 240589440000. Its totient is φ = 17773240320.

The previous prime is 68568610963. The next prime is 68568611029. The reversal of 68568610968 is 86901686586.

68568610968 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 8 + 610 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68568610963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35180458 + ... + 35182406.

It is an arithmetic number, because the mean of its divisors is an integer number (469901250).

Almost surely, 268568610968 is an apocalyptic number.

68568610968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68568610968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720000).

68568610968 is an abundant number, since it is smaller than the sum of its proper divisors (172020829032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68568610968 is a wasteful number, since it uses less digits than its factorization.

68568610968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 68568610968 in words is "sixty-eight billion, five hundred sixty-eight million, six hundred ten thousand, nine hundred sixty-eight".